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Finding the Fourth Proportional to 970.13, 1,454.09 and 622.64

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Solution

The fourth proportional to 970.13, 1,454.09 and 622.64 is: 933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,454.09 = 622.64 : x
  2. Step 2: Convert to fraction form
    970.13/1,454.09 = 622.64/x
  3. Step 3: Cross multiply
    970.13x = 1,454.09 × 622.64
  4. Step 4: Simplify right side
    970.13x = 905,364.21
  5. Step 5: Solve for x
    x = 905,364.21/970.13
  6. Step 6: Final answer
    x = 933.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.